The Exciting Universe Of Music Theory

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The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks *imperfect* tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

- Zeitler
- Aeolygian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,3,4,6,7,8} |

Forte Number | 7-Z38 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2929 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 439 |

Deep Scale | no |

Interval Vector | 434442 |

Interval Spectrum | p^{4}m^{4}n^{4}s^{3}d^{4}t^{2} |

Distribution Spectra | <1> = {1,2,4} <2> = {2,3,5} <3> = {4,5,6,7} <4> = {5,6,7,8} <5> = {7,9,10} <6> = {8,10,11} |

Spectra Variation | 2.571 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 475 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2285 | Aerogian | ||||

3rd mode: Scale 1595 | Dacrian | ||||

4th mode: Scale 2845 | Baptian | ||||

5th mode: Scale 1735 | Mela Navanitam | ||||

6th mode: Scale 2915 | Aeolydian | ||||

7th mode: Scale 3505 | Stygian |

The prime form of this scale is Scale 439

Scale 439 | Bythian |

The heptatonic modal family [475, 2285, 1595, 2845, 1735, 2915, 3505] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

The inverse of a scale is a reflection using the root as its axis. The inverse of 475 is 2929

Scale 2929 | Aeolathian |

Only scales that are chiral will have an enantiomorph. Scale 475 is chiral, and its enantiomorph is scale 2929

Scale 2929 | Aeolathian |

T_{0} | 475 | T_{0}I | 2929 | |||||

T_{1} | 950 | T_{1}I | 1763 | |||||

T_{2} | 1900 | T_{2}I | 3526 | |||||

T_{3} | 3800 | T_{3}I | 2957 | |||||

T_{4} | 3505 | T_{4}I | 1819 | |||||

T_{5} | 2915 | T_{5}I | 3638 | |||||

T_{6} | 1735 | T_{6}I | 3181 | |||||

T_{7} | 3470 | T_{7}I | 2267 | |||||

T_{8} | 2845 | T_{8}I | 439 | |||||

T_{9} | 1595 | T_{9}I | 878 | |||||

T_{10} | 3190 | T_{10}I | 1756 | |||||

T_{11} | 2285 | T_{11}I | 3512 |

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 473 | Aeralimic | |||

Scale 477 | Stacrian | |||

Scale 479 | Kocryllic | |||

Scale 467 | Raga Dhavalangam | |||

Scale 471 | Dodian | |||

Scale 459 | Zaptimic | |||

Scale 491 | Aeolyrian | |||

Scale 507 | Moryllic | |||

Scale 411 | Lygimic | |||

Scale 443 | Kothian | |||

Scale 347 | Barimic | |||

Scale 219 | Istrian | |||

Scale 731 | Ionorian | |||

Scale 987 | Aeraptyllic | |||

Scale 1499 | Bebop Locrian | |||

Scale 2523 | Rygyllic |

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.